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根据电磁轴承转子动力学与转速密切相关,转速大范围变化且其变化率有界的特点,提出了一种新的电磁轴承混合H2/H∞控制方法。建立了与转速有关的线性参数变化(LPV)电磁轴承转子动力学模型,根据电磁轴承控制性能目标要求建立了参数相关且可微的线性矩阵不等式方程组(LMIs)综合条件。基于参数有界技术,通过将这些与存在条件有关的线性矩阵不等式方程组转化为有限维凸优化问题来求解电磁轴承H2/H∞最优控制器。仿真结果验证了该控制器始终具有良好的控制性能。
According to the characteristics that the rotor dynamics of the electromagnetic bearing are closely related to the rotating speed, the rotating speed varies widely and its rate of change is bounded, a new hybrid H 2 / H ∞ control method for electromagnetic bearing is proposed. A rotor speed dynamics model of linear parameter change (LPV) electromagnetic bearing is established. According to the target performance requirements of electromagnetic bearing, the parameter dependent and differentiable linear matrix inequality equations (LMIs) synthesis conditions are established. Based on the parametric bounded technique, the H2 / H∞ optimal controller of electromagnetic bearing is solved by transforming these linear matrix inequalities which are related to the existence conditions into the finite dimensional convex optimization problem. The simulation results verify that the controller always has good control performance.